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Finding the Fourth Proportional to 314,460.90, 471,885.75 and 127,474.02

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Solution

The fourth proportional to 314,460.90, 471,885.75 and 127,474.02 is: 191,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,460.90 : 471,885.75 = 127,474.02 : x
  2. Step 2: Convert to fraction form
    314,460.90/471,885.75 = 127,474.02/x
  3. Step 3: Cross multiply
    314,460.90x = 471,885.75 × 127,474.02
  4. Step 4: Simplify right side
    314,460.90x = 60,153,173,533.22
  5. Step 5: Solve for x
    x = 60,153,173,533.22/314,460.90
  6. Step 6: Final answer
    x = 191,289.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.